Foundations of Mathematics: Comprehensive Geometry and Algebra

Translated by GoogleSee original

From 35 € /h

Course Description: Mathematics, Geometry, and Algebra

This course is designed to provide students with a comprehensive understanding of mathematics, focusing on the foundational concepts in geometry and algebra. The curriculum is tailored to enhance critical thinking, problem-solving abilities, and the ability to apply mathematical principles to real-world scenarios.

Geometry Module
The geometry section covers the study of shapes, spaces, and their properties. Students will explore concepts such as:

Euclidean Geometry: Understanding points, lines, planes, angles, and polygons.
Transformational Geometry: Analyzing symmetry, reflections, rotations, and translations.
3D Geometry: Examining solids, surface area, and volume of three-dimensional figures.
Analytic Geometry: Using coordinate systems to represent geometric objects and solve problems.
Applications: Real-world geometric problems and their applications in fields like engineering, architecture, and design.
Algebra Module
In the algebra module, students develop skills in manipulating symbols and solving equations, covering:

Basic Algebra: Operations, factoring, and solving linear and quadratic equations.
Advanced Algebra: Working with polynomials, rational expressions, exponents, and logarithms.
Systems of Equations: Solving systems using substitution, elimination, and matrix methods.
Functions and Graphs: Exploring linear, quadratic, exponential, and logarithmic functions.
Abstract Algebra (Advanced topics): Introduction to groups, rings, and fields for students interested in theoretical aspects.
Course Goals

By the end of this course, students will be able to:

Analyze complex mathematical problems with clarity and precision.
Apply geometric and algebraic principles to model and solve real-life scenarios.
Develop a strong foundation for higher-level studies in mathematics or related fields.
This course offers a blend of theoretical exploration and practical application, making it ideal for students looking to deepen their mathematical understanding or pursue studies in STEM disciplines.

Location

Online from Algeria

About Me

Walid is a dedicated mathematician with a strong background in geometry and algebra, holding a master's degree in these fields and over five years of teaching experience. Passionate about both the theoretical and applied aspects of mathematics, Walid excels at breaking down complex concepts to make them accessible and engaging for students at all levels. His expertise spans across core mathematical principles as well as more advanced topics in geometry, topology, and algebra, making him an adaptable and insightful educator.

In addition to his teaching, Walid is committed to ongoing research in mathematics, especially within the realms of geometry and topology. Known for his analytical mindset, critical thinking skills, and drive to inspire others, he brings both depth and energy to his teaching and research.

Education

im walid boutaghou student and i have master algebra and geometry at the university of Université des Sciences et de la Technologie Houari Boumediene in algeria

Experience / Qualifications

Walid is a skilled mathematician and educator with over five years of experience in teaching mathematics, specializing in geometry and algebra. Holding a master's degree in algebra and geometry, Walid has taught students across various educational levels, developing a strong ability to convey complex mathematical ideas with clarity and enthusiasm.

Key Qualifications:
Master's Degree in Algebra and Geometry: Advanced studies in these fields have equipped Walid with in-depth theoretical knowledge and the skills needed to explore complex mathematical concepts.
Teaching Experience: With over five years of both experience, he has taught foundational and advanced topics in mathematics, ensuring that students build a solid understanding of the subject.
Curriculum Development: Walid has experience in designing comprehensive mathematics courses, focusing on making geometry and algebra approachable and engaging, while also preparing students for higher-level studies.
Research Background: Active in his research pursuits, especially within the realms of geometry and topology, Walid is deeply invested in staying updated with current trends and advancements in the field of mathematics.
Skills:
Analytical and Problem-Solving Skills: Walid's background allows him to break down complex problems and present clear, logical solutions.
Student-Centered Teaching Approach: He prioritizes the needs and learning styles of his students, ensuring they have the support to understand and apply mathematical principles effectively.
Adaptability and Growth-Oriented Mindset: Walid continuously seeks opportunities to expand his own knowledge and inspire students, making him a flexible and forward-thinking educator.

Age

Children (7-12 years old)

Teenagers (13-17 years old)

Adults (18-64 years old)

Seniors (65+ years old)

Student level

Beginner

Intermediate

Advanced

Duration

60 minutes

90 minutes

The class is taught in

French

English

Arabic

Skills

Math

Geometry

Algebra

Availability of a typical week

(GMT -04:00)

New York

Online via webcam

Mon

Tue

Wed

Thu

Fri

Sat

Sun

00-04

04-08

08-12

12-16

16-20

20-24

Benoit

5.0

(40)

I am a qualified and experienced mathematics tutor. Graduated from the Free University of Brussels in 2011, I started my career by teaching remedial courses in different schools in Brussels. I then specialized in individual academic support by following educational training at the Harvard Graduate School of Education. I have been giving private mathematics lessons daily for over ten years.

The students who follow my private lessons benefit from personalized support. The first session is devoted to an in-depth assessment of the student's mathematical knowledge. The objective is to detect its weak points and understand their origin in order to adapt my courses to its needs. I develop a tailor-made remediation program for each of my students aimed at filling each of their gaps. Over the course of the sessions, the student builds a solid foundation for learning and regains self-confidence. At the same time, I help him acquire a work methodology that allows him to gradually become autonomous in his studies.

I have a thorough knowledge of the mathematics curriculum for middle and high school (from 6th to 12th grade). I am also qualified to support students in preparing for international exams such as the SAT, the OMPT, and the International Baccalaureate (IB) in all its variations: Analysis and Approaches (AA SL/HL) and Applications and Interpretation (AI SL/HL).

Throughout my years of training, I studied and developed numerous techniques that facilitate learning mathematics. The strength of my teaching approach lies in my ability to explain, in simple terms, anything a student finds complicated. I am passionate about this profession because it offers me the opportunity to guide struggling students toward success. It is a true pleasure to see them progress and rediscover their connection with the fascinating world of mathematics.

I offer private tutoring in Paris (at the student's home) or remotely (online). My online lessons take place on an interactive whiteboard. This whiteboard is specifically designed to facilitate student/teacher interaction online. Thanks to this teaching tool, my online lessons are just as effective as in-person lessons. The student only needs an internet connection and a computer, tablet, or smartphone to participate.

Houssem

5.0

(40)

An experienced teacher at your disposal for:

- Methodology adapted to all levels.
- Upgrading.
- Consolidation of achievements.
- Preparation for an examination / competition (CEB, CE1D, CESS.etc).
- Help with homework and lessons.
- Complementary exercises and review as controls and exams approach.
- Advice and supervision at the level of working methods.
- Recommended teaching methods.

Currently, I am doing my maths aggregation. I am already an electromechanical engineer, graduated as a senior technician in electronics and electrical engineering and who passed my bachelor's degree in mathematics with honors. I teach in different technical fields and especially mathematics, algebra and electronics.

At the level of my teaching methods, I use those that are advised pedagogically, I always try to explain and detail as much as possible the courses and I do not pass to the following stages until after making sure that the student understood what I explained.

As a teacher, I already have good experience teaching with students for 7 years. What is certain is that I always make sure to go as far as possible to explain the exercises.

Raef

5.0

(40)

Experienced over 18 years, I give private lessons in Mathematics - Analysis - Matrices - Statistics - Algebra - Geometry - Physics - Chemistry - Biology and Geology to students of French or international program (in English) of Terminales, Bac, 1ère, Second, Brevet, competitive exams and medical university preparatory classes or 1st and 2nd university years either at home or online using the very sophisticated and modernized virtual class method with results mentioned as Excellent, Very Good and Good since 2002.
Homework help for CNED students.
For more information, do not hesitate to contact me, guaranteed response in a few minutes up to 10 hours maximum.

Matías

5.0

(40)

Do you aspire to master mathematics, physics and engineering at a university level? Do you want to exceed your limits and excel in these demanding fields? Do not search anymore ! Our tailor-made private lessons are there for you.

Why choose our courses?

Unparalleled Expertise: Our professors are experts in their field, with extensive experience in university teaching. They are ready to guide you towards success.

Personalized Program: We tailor each course to your specific needs, from understanding fundamental concepts to solving complex problems.

Total Flexibility: Choose the schedule that suits you best. Whether you are an active student or a professional, we adapt to your schedule.

Constant Support: You will benefit from continuous monitoring between classes to answer all your questions and concerns.

Quality Teaching Materials: We provide high-quality learning resources to support your progress.

Who can benefit from our courses?

High school students preparing for their baccalaureate or entrance exams to engineering schools.

University students pursuing a degree in mathematics, physics or engineering.

Professionals looking to acquire or deepen technical skills.

Join us today!

Excellence doesn't wait. Contact us now to book your first lesson. Together we will build a bright future based on a solid understanding of mathematics, physics and engineering.

David

5.0

(40)

I am a Math and Physics tutor with over 10 years of experience, backed by an MIT background and training from top technical schools. My lessons are unmatched, blending charisma, passion, and innovative teaching methods to create a magical learning experience. I focus on highly personalized, one-on-one sessions, understanding each student’s unique mindset to unlock their full potential.

Teaching is my true passion! I genuinely enjoy sharing my knowledge and skills with those in need. My friendly and supportive attitude allows me to establish a connection with every student right from the first lesson. So, if you're feeling demotivated and down, don't worry! I'm here to help you find the motivation you need for both academic and personal success.

If you have any questions, please feel free to contact me anytime here. I will respond to you as soon as possible!

Baia

5.0

(40)

Struggling with school math or aiming for exam excellence? In this class, I make complex topics simple, clear, and even enjoyable. From middle school to university level math, I adapt to every student's level and mindset. Whether it's building strong foundations or mastering advanced concepts, you or your child will walk away feeling confident, capable, and ready to shine.

✨ Personalised approach
📚 Clear explanations + real understanding
🏆 Proven results in IB, OMPT, VWO & more

Let’s turn “I don’t get it” into “I’ve got this!”
Book the first session and see the difference.

Mariem

5.0

(40)

I am an experienced teacher, particularly in academic support and homework monitoring, whether online or in person.
I provide private lessons for primary school four sessions per week (Math, Reading and comprehension, French, Written expression).
I am experienced in teaching the Arabic language to non-Arabic speakers using booklets known as the volume of Medina series...

Dorcas

5.0

(40)

Passionate and dedicated teacher with five years of experience fostering an engaging and inclusive learning environment. I'm committed to promoting student success through personalized instruction, differentiated learning strategies, and active student engagement. Proven track record of implementing innovative teaching methods and achieving measurable improvements in student academic performance.
I offer home tution services for igcse and other curricular.
I tutor learners in both lower and upper grades English, Maths and Science and other subjects if the need be.
Duration per session is an hour and above.

Eugene

5.0

(40)

I am a 2021 IGCSE graduate and a 2023 IB graduate, now studying Veterinary Medicine at the University of Edinburgh. Having recently completed these programmes myself, I understand the challenges students face and how to overcome them effectively.

With 2 years of experience teaching the IGCSE and IB syllabus, I specialize in helping students master subject content, strengthen exam techniques, and build confidence. My lessons are tailored to each learner’s pace and goals, ensuring steady progress and measurable results.

What I offer:
- IB & IGCSE syllabus coverage across core and extended levels
- Exam preparation with past paper practice and detailed feedback
- Structured guidance for Internal Assessments (IA), Extended Essays (EE), and coursework
- Study and time-management strategies designed to reduce stress and boost performance
- A supportive, relatable learning environment from someone who has recently been through the same exams successfully

Martin

5.0

(40)

Working part-time in the watch industry, I have been tutoring for several years in the context of refresher, occasional support or preparation of exams or competitions. Very experienced in relation to the difficulties encountered by students and pedagogue, I adapt to the needs of each to quickly regain the necessary confidence, the methodology of mathematical reasoning and allow a rapid improvement of results.
Experienced and pedagogue, I adapt to the needs of the student to help him consolidate his knowledge methodically, to regain confidence and improve as quickly as possible its results. I teach these courses in a radius of 30 km around Geneva.

Taiwo

5.0

(40)

This online mathematics class helps students build a deep understanding of concepts, strengthen problem-solving skills, and improve performance in school and international exams. I have supported students across various educational systems, helping them overcome learning gaps and develop confidence in math.

Lessons focus on understanding why methods work, not just memorizing formulas. Students learn step-by-step approaches, logical reasoning, and how to clearly explain their solutions—an essential skill for higher-level mathematics.

I support learners studying under curricula such as Cambridge, IGCSE, GCSE, IB (MYP & DP), A-Level, and other international programs. Whether a student needs help catching up, preparing for exams, or aiming for higher achievement, lessons are tailored to their pace and goals.

With structured practice, guided problem-solving, and exam-focused strategies, students gain both clarity and confidence.

Josephine

5.0

(40)

The SAT is a landmark exam for many high school students. A good exam score can be instrumental in college admissions. This course is designed to provide students with resources to set a goal score, make a study plan, and feel confident on test day. I got a 1530 on my most recent SAT, and I am dedicated to uplifting students to and beyond that score.
I can help specifically with the English and Math multiple choice parts of the exam. With students I will cover both content, the information being tested on the exam, and testing strategies, how to more efficiently and effectively take the test. The essay portion of the SAT has mostly been discontinued, so I don't cover it when tutoring for the exam.

Harlette

5.0

(40)

I specialize in tutoring in mathematics. My goal is to offer stimulating and personalized instruction for each student. I assign homework after each lesson and provide regular progress reports. With my impeccable follow-up, you won't be disappointed.

Romeo

5.0

(40)

As a graduate with a passion for science, I offer tutoring in mathematics and science (physics, chemistry, biology) for secondary school students of all levels.

My goal is to help each student understand the subject matter in depth, strengthen their foundations, and gain confidence. Lessons are tailored to the student's pace, with clear explanations, practical exercises, and preparation for homework, quizzes, and exams.

Lessons can be given at home or online, depending on the needs.

Arsema

5.0

(40)

This math class is designed to help students build a strong, confident understanding of core mathematical concepts while improving problem-solving skills and exam performance. The course covers key topics typically taught at the high school level, including algebra, functions, geometry, and basic trigonometry, with a focus on clarity, step-by-step reasoning, and real exam-style questions.

Students will not only learn how to solve problems, but also why the methods work—helping them develop deeper understanding rather than memorizing formulas. Special attention is given to common mistakes, time-saving strategies, and techniques used in standardized tests and school exams.

This class is especially helpful for students who want to improve their grades and overall understanding of math, feel stuck or confused by certain topics, are preparing for exams or standardized tests, or need a structured and supportive environment to practice consistently.